Need advice on diagnosing and fixing a car stuck in a garage

[Cinders1]

Vehicle: 1997 Acura Integra LS
Issue: The car wont start. Had to jump the battery recently, but it ran fine after. I drove to work, and when I tried to start it to go home nothing happened. No sound at all, no clicks, no cranking, no turning, just the sound of the key turning in the ignition.
I have tried:
trying to Jump it had no change. Still no cranking, clicking, or turning. Also, the lights and radio turn on, and don't look faded as though they weren't getting enough power.
Checked the fuses for ignition and the inside fuse box, and checked the fuses in the engine fuse box. Nothing blown.

I believe it is the starter or ignition but I'm not a huge car guy. I did notice the ignition seemed to be getting finicky. I sometimes had to turn the ignition on, then back to off, then on again. But it would start up just fine. No odd stuttering once it engaged. So most likely the ignition?

The other issue is the car is stuck in a sub level garage that no local tow trucks can fit into, a 5'5 clearance. The ramp out is too steep to push it. My insurance has told me they can't help find a tow. I'll call around and see if any out of network towing companies can help but I don't expect there are any. I even called the parking garage itself, and they said they didn't know of anyone who can tow out of there. I don't know how I would get it to a shop aside from getting someone I know with a towing capacity vehicle (and apparatus to tow) to drag it to the street. I'll look into it of course.

So the best solution is I fix it inside the garage, preferably before the parking garage charges me a fortune.

 

[Darkbreeze]

So, unlike many vehicles, but like many imports, the ignition switch is not a column mounted module that is actuated by a linkage rod which is moved by the ignition lock cylinder. It's actually a small round switch and a attached pigtail harness with a couple of connectors that is located behind the ignition lock cylinder. I've not done one on your model of vehicle but have done many that are similar and honestly it could go either way, fairly easy or extremely difficult. Youtube is probably your friend on this one if you end up replacing it yourself.

It's sound to me very likely that it's the problem but it would be a good idea to try and manually trigger the starter by jumping the solenoid terminals. I don't know the exact procedure/terminals on this vehicle either, but again you can likely find that information elsewhere online. If the starter cranks by manually energizing the solenoid, then it's almost a certainty that the ignition switch is to blame. If not, then removal of the starter and bench testing it yourself or taking it to one of the part stores for testing would be the next step.

Another option, which would likely be in line with the cost of tow considering the situation would be to find a local reputable mobile mechanic that could come and perform the testing on site and provide your with a confirmed diagnosis at which time you could simply pay them for the diagnosis and perform the repairs yourself or simply have them go ahead and fix it where it sits so you don't have to mess with it.